In this paper we perform a more quantitative study by employing CMT in combination with Betti numbers to explore the prospects of constraining a simple three parameter model of EoR using mock 21cm images from SKA I lowhttp://skatelescope.org. In addition to using the scale information contained in CMT, here we also use the area of structures in the excursion sets of the field. For this study, we simulate 21cm brightness temperature maps at a redshift of \(\mathrm {z=7.4}\)  using 21cmFAST [1]} and perform a Bayesian inference using COSMOMC [2]} as a generic sampler. A detailed study of detecting ionized sources from 21cm images in the presence of system noise and foreground has been performed in [3]}. In this work, we will follow a similar method for generating system noise and perform our inference for a model of EoR described by the ionizing efficieny of sources (\(\zeta \) ), the minimum Virial temperature for collapse into a halo (\(T_{vir}\) ) and the maximum scale of ionizing radiation (\(R_{mfp}\) ). The study is performed by assuming complete foreground removal from the mock 21cm images.
